429 citations · 3.4k across the 37 of their papers we have counts for
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math.AG2005★ 188 cited
Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
Denis Auroux, Ludmil Katzarkov, Dmitri Orlov
We study homological mirror symmetry for Del Pezzo surfaces and their mirror Landau-Ginzburg models. In particular, we show that the derived category of coherent sheaves on a Del P…
math.AG2005★ 50 cited
Triangulated categories of singularities and equivalences between Landau-Ginzburg models
Dmitri Orlov
In this paper we prove an existence of some type of equivalences between triangulated categories of singularities for varieties of different dimensions. This class of equivalences…
math.AG2005★ 295 cited
Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
Dmitri Orlov
In this paper we establish an equivalence between the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W and the triangulated categor…